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arXiv · 1311.7136

Dynamical signature of edge state in the 1D Aubry-Andr\'{e} model

H. Z. Shen·X. X. Yi·C. H. Oh
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Abstract

Topological feature has become an intensively studied subject in many fields of physics. As a witness of topological phase, the edge states are topologically protected and may be helpful in quantum information processing. In this paper, we define a measure to quantify the dynamical localization of system and simulate the localization in the 1D Aubry-Andr\'{e} model. We find an interesting connection between the edge states and the dynamical localization of the system, this connection may be used as a signature of edge state and topological phase.

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H. Z. Shen, X. X. Yi, C. H. Oh. 2013-11-27. Dynamical signature of edge state in the 1D Aubry-Andr\'{e} model. https://doi.org/10.1088/0953-4075/47/8/085501

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